Which books to go from calculus to analysis?

AI Thread Summary
The discussion centers around transitioning from precalculus to calculus, with a focus on selecting appropriate study materials. The original poster finds Apostol's calculus book challenging and prefers starting with a high school calculus book for its simplicity. They seek recommendations for advanced calculus and analysis books, questioning whether Apostol's second volume is necessary since it covers multivariable calculus. Participants emphasize the importance of mastering the basics before tackling advanced topics and suggest a study plan that includes the high school book, Schaum's Outline of Advanced Calculus, and then Apostol's analysis. They caution against trying to rush through the material, noting that understanding calculus and analysis takes time and that Schaum's Outlines are not substitutes for more comprehensive texts.
Jimmy84
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I just finished doing pre calculus and I was eager to get started with calculus so I started to read apostol however the book happens to be somewhat dificult for me. It begins proving the exaustation method of Archimedes, and with other subjects, I preferred to start with my brother's high school calculus book which is way easier. I wonder which books should I get for advanced calculus and analysis. Is apostol v2 advanced calculus? I also have mcgraw hill schaums outline of advanced calculus which is 442 pages. I d like to read as less books as possible, In order to have more time to study more advanced math.

Im considering to read as fast as I can the high school calculus book, then to try schaums outline of advanced calculus and then apostol s analysis. but it 'd make me feel bad not to read apostol v1 and v2 a lot.

Any advices about which study plan to follow?
 
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v2 of apostol is multivariable calculus its an extension of the first volume same style, so I am not sure what difference our looking for.
You can't do it all in a month, itl take some time to finish calculus both single and multi. Id recommend after that to then read apostol in you free time etc. in addition with a book on analysis. this i'll probably take more time as analysis is much more difficult to begin with
 
You could probably get the basics of calculus down from a quick reading of the high school book, but once you know more or less what's going on take the time to read Apostol. If you want to understand advanced material, make sure you've got the basics down. Schaum's Outlines aren't bad, but they're certainly no substitute for a more thorough treatment.
 
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